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Hardy's uncertainty principle and the Wigner transform

GFM seminar
CIUL, B2-01
2009-09-11 14:30 .. 15:30
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by Maurice de Gosson (Faculty of Mathematics, University of Vienna, Austria)

We begin by recalling Hardy's uncertainty principle for a function and its Fourier transform. We thereafter show that this uncertainty principle is actually equivalent to a statement on Wigner's distribution. This opens the way to a non-trivial phase space uncertainty principle.